5x-4=14x-78

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Solution for 5x-4=14x-78 equation:


Simplifying
5x + -4 = 14x + -78

Reorder the terms:
-4 + 5x = 14x + -78

Reorder the terms:
-4 + 5x = -78 + 14x

Solving
-4 + 5x = -78 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.
-4 + 5x + -14x = -78 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-4 + -9x = -78 + 14x + -14x

Combine like terms: 14x + -14x = 0
-4 + -9x = -78 + 0
-4 + -9x = -78

Add '4' to each side of the equation.
-4 + 4 + -9x = -78 + 4

Combine like terms: -4 + 4 = 0
0 + -9x = -78 + 4
-9x = -78 + 4

Combine like terms: -78 + 4 = -74
-9x = -74

Divide each side by '-9'.
x = 8.222222222

Simplifying
x = 8.222222222

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